147076811214080 has 864 divisors, whose sum is σ = 416287446059520. Its totient is φ = 49569457766400.

The previous prime is 147076811214043. The next prime is 147076811214191. The reversal of 147076811214080 is 80412118670741.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112530076787 + ... + 112530078093.

It is an arithmetic number, because the mean of its divisors is an integer number (481814173680).

Almost surely, 2^{147076811214080} is an apocalyptic number.

147076811214080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147076811214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208143723029760).

147076811214080 is an abundant number, since it is smaller than the sum of its proper divisors (269210634845440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147076811214080 is a wasteful number, since it uses less digits than its factorization.

147076811214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 50.

The spelling of 147076811214080 in words is "one hundred forty-seven trillion, seventy-six billion, eight hundred eleven million, two hundred fourteen thousand, eighty".